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Simplifying 7x + 24 = 12x + -34 Reorder the terms: 24 + 7x = 12x + -34 Reorder the terms: 24 + 7x = -34 + 12x Solving 24 + 7x = -34 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 24 + 7x + -12x = -34 + 12x + -12x Combine like terms: 7x + -12x = -5x 24 + -5x = -34 + 12x + -12x Combine like terms: 12x + -12x = 0 24 + -5x = -34 + 0 24 + -5x = -34 Add '-24' to each side of the equation. 24 + -24 + -5x = -34 + -24 Combine like terms: 24 + -24 = 0 0 + -5x = -34 + -24 -5x = -34 + -24 Combine like terms: -34 + -24 = -58 -5x = -58 Divide each side by '-5'. x = 11.6 Simplifying x = 11.6
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